title: 3D parameter to quantify the anisotropy measurement of periodic structures on rough surfaces.
abstract: In this paper, a new 3D roughness parameter, Sreg, is proposed to quantify the regularity of a surface, independent of the amplitude and the scanning length units of the surface. The efficiency of this parameter is tested on noisy periodical surfaces with degrees of anisotropy. This parameter lies between zero (perfect noise) and 100% (a perfect periodic surface). This parameter enables the identification of the anisotropy directions of regularity for a given surface. For a periodical surface, the greater the noise, the lower the anisotropy. A direction function is proposed to analyse the direction of regularity of a rough surface, which then permits characterization of the directional regularity of the topography. The regularity parameter can be used for several purposes: to identify the direction of periodical structures formed by laser-pulsed radiations on the surface of solid workpieces; to examine the reproducibility of surface machining methods such as finishing process; and to identify the surface regularity produced by abrasive machining, such as precision surface grain, abrasive slotting, and lapping.
authors.affiliation: CEMEF, Centre de Mise en Forme des Matériaux, MINES ParisTech, Rue Claude Daunesse, Sophia Antipolis, France.
authors.forename: G
authors.initials: G
authors.lastname: Guillemot
authors.forename: M
authors.initials: M
authors.lastname: Bigerelle
authors.forename: Z
authors.initials: Z
authors.lastname: Khawaja
keywords: 3D roughness parameter; statistical analysis; surface regularity; surface roughness